4004041401 has 6 divisors (see below), whose sum is σ = 5783615370. Its totient is φ = 2669360928.

The previous prime is 4004041333. The next prime is 4004041409. The reversal of 4004041401 is 1041404004.

It can be written as a sum of positive squares in only one way, i.e., 4003852176 + 189225 = 63276^2 + 435^2 .

It is not a de Polignac number, because 4004041401 - 2¹⁰ = 4004040377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4004041409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222446736 + ... + 222446753.

It is an arithmetic number, because the mean of its divisors is an integer number (963935895).

Almost surely, 2^4004041401 is an apocalyptic number.

It is an amenable number.

4004041401 is a deficient number, since it is larger than the sum of its proper divisors (1779573969).

4004041401 is a wasteful number, since it uses less digits than its factorization.

4004041401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444893495 (or 444893492 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4004041401 is about 63277.4952174942. The cubic root of 4004041401 is about 1587.9354823712.

Adding to 4004041401 its reverse (1041404004), we get a palindrome (5045445405).

The spelling of 4004041401 in words is "four billion, four million, forty-one thousand, four hundred one".